29=x^2+28x

Solution for 29=x^2+28x equation:

Simplifying
29 = x2 + 28x

Reorder the terms:
29 = 28x + x2

Solving
29 = 28x + x2

Solving for variable 'x'.

Reorder the terms:
29 + -28x + -1x2 = 28x + -28x + x2 + -1x2

Combine like terms: 28x + -28x = 0
29 + -28x + -1x2 = 0 + x2 + -1x2
29 + -28x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
29 + -28x + -1x2 = 0

Factor a trinomial.
(1 + -1x)(29 + x) = 0

Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Subproblem 2
Set the factor '(29 + x)' equal to zero and attempt to solve:

Simplifying
29 + x = 0

Solving
29 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-29' to each side of the equation.
29 + -29 + x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + x = 0 + -29
x = 0 + -29

Combine like terms: 0 + -29 = -29
x = -29

Simplifying
x = -29
Solution
x = {1, -29}